%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP029+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:33:55 PM UTC 2026
% Result : Theorem 6.46s 1.77s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 14
% Syntax : Number of formulae : 146 ( 18 unt; 5 def)
% Number of atoms : 636 ( 16 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 853 ( 363 ~; 382 |; 71 &)
% ( 13 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 6 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 129 ( 0 sgn 119 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_t_0topsp(X1)
& m2_tsp_1(X1,X0) )
=> ? [X2] :
( v1_pre_topc(X2)
& m2_tsp_1(X2,X0)
& m2_tsp_1(X1,X2)
& v2_tsp_2(X2,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_tsp_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_t_0topsp(X1)
& m2_tsp_1(X1,X0) )
=> ? [X2] :
( v1_pre_topc(X2)
& m2_tsp_1(X2,X0)
& m2_tsp_1(X1,X2)
& v2_tsp_2(X2,X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f57,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m2_tsp_1(X1,X0)
=> l1_pre_topc(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_tsp_1) ).
fof(f69,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m2_tsp_1(X1,X0)
=> m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l19_tsp_2) ).
fof(f96,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_tsp_1) ).
fof(f98,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ~ ( v1_tsp_2(X1,X0)
& ! [X2] :
( ( ~ v3_struct_0(X2)
& v1_pre_topc(X2)
& m2_tsp_1(X2,X0) )
=> ~ ( v2_tsp_2(X2,X0)
& X1 = u1_struct_0(X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_tsp_2) ).
fof(f99,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& m2_tsp_1(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( X2 = u1_struct_0(X1)
=> ( v1_tsp_1(X2,X0)
<=> v2_t_0topsp(X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_tsp_1) ).
fof(f104,axiom,
! [X0] :
( ( v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m1_pre_topc(X1,X0)
=> ! [X2] :
( m1_pre_topc(X2,X0)
=> ( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
<=> m1_pre_topc(X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_tsep_1) ).
fof(f105,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ~ v1_tsp_2(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_tsp_2) ).
fof(f110,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ~ ( v1_tsp_1(X1,X0)
& ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ~ ( r1_tarski(X1,X2)
& v1_tsp_2(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_tsp_2) ).
fof(f112,plain,
? [X0] :
( ? [X1] :
( ! [X2] :
( ~ v1_pre_topc(X2)
| ~ m2_tsp_1(X2,X0)
| ~ m2_tsp_1(X1,X2)
| ~ v2_tsp_2(X2,X0) )
& ~ v3_struct_0(X1)
& v2_t_0topsp(X1)
& m2_tsp_1(X1,X0) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f113,plain,
? [X0] :
( ? [X1] :
( ! [X2] :
( ~ v1_pre_topc(X2)
| ~ m2_tsp_1(X2,X0)
| ~ m2_tsp_1(X1,X2)
| ~ v2_tsp_2(X2,X0) )
& ~ v3_struct_0(X1)
& v2_t_0topsp(X1)
& m2_tsp_1(X1,X0) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(flattening,[],[f112]) ).
fof(f195,plain,
! [X0] :
( ! [X1] :
( l1_pre_topc(X1)
| ~ m2_tsp_1(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f202,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f203,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f202]) ).
fof(f235,plain,
! [X0] :
( ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f96]) ).
fof(f236,plain,
! [X0] :
( ! [X1] :
( ~ v1_tsp_2(X1,X0)
| ? [X2] :
( v2_tsp_2(X2,X0)
& X1 = u1_struct_0(X2)
& ~ v3_struct_0(X2)
& v1_pre_topc(X2)
& m2_tsp_1(X2,X0) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f237,plain,
! [X0] :
( ! [X1] :
( ~ v1_tsp_2(X1,X0)
| ? [X2] :
( v2_tsp_2(X2,X0)
& X1 = u1_struct_0(X2)
& ~ v3_struct_0(X2)
& v1_pre_topc(X2)
& m2_tsp_1(X2,X0) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f236]) ).
fof(f238,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v1_tsp_1(X2,X0)
<=> v2_t_0topsp(X1) )
| u1_struct_0(X1) != X2
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X1)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f99]) ).
fof(f239,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v1_tsp_1(X2,X0)
<=> v2_t_0topsp(X1) )
| u1_struct_0(X1) != X2
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X1)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f238]) ).
fof(f245,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
<=> m1_pre_topc(X1,X2) )
| ~ m1_pre_topc(X2,X0) )
| ~ m1_pre_topc(X1,X0) )
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f104]) ).
fof(f246,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
<=> m1_pre_topc(X1,X2) )
| ~ m1_pre_topc(X2,X0) )
| ~ m1_pre_topc(X1,X0) )
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f245]) ).
fof(f247,plain,
! [X0] :
( ! [X1] :
( ~ v1_tsp_2(X1,X0)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f105]) ).
fof(f248,plain,
! [X0] :
( ! [X1] :
( ~ v1_tsp_2(X1,X0)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f247]) ).
fof(f253,plain,
! [X0] :
( ! [X1] :
( ~ v1_tsp_1(X1,X0)
| ? [X2] :
( r1_tarski(X1,X2)
& v1_tsp_2(X2,X0)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f110]) ).
fof(f254,plain,
! [X0] :
( ! [X1] :
( ~ v1_tsp_1(X1,X0)
| ? [X2] :
( r1_tarski(X1,X2)
& v1_tsp_2(X2,X0)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f253]) ).
fof(f255,plain,
( ! [X2] :
( ~ v1_pre_topc(X2)
| ~ m2_tsp_1(X2,sK0)
| ~ m2_tsp_1(sK1,X2)
| ~ v2_tsp_2(X2,sK0) )
& ~ v3_struct_0(sK1)
& v2_t_0topsp(sK1)
& m2_tsp_1(sK1,sK0)
& ~ v3_struct_0(sK0)
& v2_pre_topc(sK0)
& l1_pre_topc(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f113]) ).
fof(f287,plain,
! [X0] :
( ! [X1] :
( ( m2_tsp_1(X1,X0)
| ~ m1_pre_topc(X1,X0) )
& ( m1_pre_topc(X1,X0)
| ~ m2_tsp_1(X1,X0) ) )
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f235]) ).
fof(f288,plain,
! [X0] :
( ! [X1] :
( ~ v1_tsp_2(X1,X0)
| ( v2_tsp_2(sK33(X0,X1),X0)
& u1_struct_0(sK33(X0,X1)) = X1
& ~ v3_struct_0(sK33(X0,X1))
& v1_pre_topc(sK33(X0,X1))
& m2_tsp_1(sK33(X0,X1),X0) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK33]),skolemize(X2,sK33(X0,X1))],[f237]) ).
fof(f289,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v1_tsp_1(X2,X0)
| ~ v2_t_0topsp(X1) )
& ( v2_t_0topsp(X1)
| ~ v1_tsp_1(X2,X0) ) )
| u1_struct_0(X1) != X2
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X1)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f239]) ).
fof(f291,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_pre_topc(X1,X2) )
& ( m1_pre_topc(X1,X2)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X2)) ) )
| ~ m1_pre_topc(X2,X0) )
| ~ m1_pre_topc(X1,X0) )
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f246]) ).
fof(f292,plain,
! [X0] :
( ! [X1] :
( ~ v1_tsp_1(X1,X0)
| ( r1_tarski(X1,sK34(X0,X1))
& v1_tsp_2(sK34(X0,X1),X0)
& m1_subset_1(sK34(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34]),skolemize(X2,sK34(X0,X1))],[f254]) ).
fof(f293,plain,
l1_pre_topc(sK0),
inference(cnf_transformation,[],[f255]) ).
fof(f294,plain,
v2_pre_topc(sK0),
inference(cnf_transformation,[],[f255]) ).
fof(f295,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f255]) ).
fof(f296,plain,
m2_tsp_1(sK1,sK0),
inference(cnf_transformation,[],[f255]) ).
fof(f297,plain,
v2_t_0topsp(sK1),
inference(cnf_transformation,[],[f255]) ).
fof(f298,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f255]) ).
fof(f299,plain,
! [X2] :
( ~ v2_tsp_2(X2,sK0)
| ~ m2_tsp_1(X2,sK0)
| ~ m2_tsp_1(sK1,X2)
| ~ v1_pre_topc(X2) ),
inference(cnf_transformation,[],[f255]) ).
fof(f436,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m2_tsp_1(X1,X0)
| l1_pre_topc(X1) ),
inference(cnf_transformation,[],[f195]) ).
fof(f453,plain,
! [X0,X1] :
( ~ m2_tsp_1(X1,X0)
| m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f561,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m2_tsp_1(X1,X0)
| m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f287]) ).
fof(f562,plain,
! [X0,X1] :
( ~ m1_pre_topc(X1,X0)
| m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f287]) ).
fof(f564,plain,
! [X0,X1] :
( ~ v1_tsp_2(X1,X0)
| m2_tsp_1(sK33(X0,X1),X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f288]) ).
fof(f565,plain,
! [X0,X1] :
( ~ v1_tsp_2(X1,X0)
| v1_pre_topc(sK33(X0,X1))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f288]) ).
fof(f567,plain,
! [X0,X1] :
( ~ v1_tsp_2(X1,X0)
| u1_struct_0(sK33(X0,X1)) = X1
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f288]) ).
fof(f568,plain,
! [X0,X1] :
( ~ v1_tsp_2(X1,X0)
| v2_tsp_2(sK33(X0,X1),X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f288]) ).
fof(f570,plain,
! [X2,X0,X1] :
( v1_tsp_1(X2,X0)
| ~ v2_t_0topsp(X1)
| u1_struct_0(X1) != X2
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X1)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f289]) ).
fof(f576,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_pre_topc(X2,X0)
| ~ m1_pre_topc(X1,X0)
| ~ v2_pre_topc(X0)
| m1_pre_topc(X1,X2) ),
inference(cnf_transformation,[],[f291]) ).
fof(f578,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f248]) ).
fof(f583,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| m1_subset_1(sK34(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f584,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_tsp_2(sK34(X0,X1),X0)
| ~ v1_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f585,plain,
! [X0,X1] :
( r1_tarski(X1,sK34(X0,X1))
| ~ v1_tsp_1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f586,plain,
! [X0,X1] :
( ~ m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v2_t_0topsp(X1)
| v1_tsp_1(u1_struct_0(X1),X0)
| v3_struct_0(X1)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(equality_resolution,[],[f570]) ).
fof(f588,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| m2_tsp_1(sK33(X0,X1),X0)
| ~ v1_tsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f564,f578]) ).
fof(f589,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_pre_topc(sK33(X0,X1))
| ~ v1_tsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f565,f578]) ).
fof(f591,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| u1_struct_0(sK33(X0,X1)) = X1
| ~ v1_tsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f567,f578]) ).
fof(f592,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v2_tsp_2(sK33(X0,X1),X0)
| ~ v1_tsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f568,f578]) ).
fof(f594,plain,
! [X0] :
( ~ m2_tsp_1(X0,sK0)
| l1_pre_topc(X0) ),
inference(resolution,[],[f436,f293]) ).
fof(f595,plain,
! [X0] :
( ~ m2_tsp_1(X0,sK0)
| m1_pre_topc(X0,sK0) ),
inference(resolution,[],[f561,f293]) ).
fof(f596,plain,
m1_pre_topc(sK1,sK0),
inference(resolution,[],[f595,f296]) ).
fof(f611,plain,
( m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ l1_pre_topc(sK0) ),
inference(resolution,[],[f453,f296]) ).
fof(f612,plain,
( m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_pre_topc(sK0) ),
inference(forward_subsumption_resolution,[],[f611,f295]) ).
fof(f613,plain,
m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK0))),
inference(forward_subsumption_resolution,[],[f612,f293]) ).
fof(f614,plain,
( ~ v2_t_0topsp(sK1)
| v1_tsp_1(u1_struct_0(sK1),sK0)
| v3_struct_0(sK1)
| ~ m2_tsp_1(sK1,sK0)
| v3_struct_0(sK0)
| ~ l1_pre_topc(sK0) ),
inference(resolution,[],[f613,f586]) ).
fof(f615,plain,
( m1_subset_1(sK34(sK0,u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_tsp_1(u1_struct_0(sK1),sK0)
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0) ),
inference(resolution,[],[f613,f583]) ).
fof(f618,plain,
( v1_tsp_2(sK34(sK0,u1_struct_0(sK1)),sK0)
| ~ v1_tsp_1(u1_struct_0(sK1),sK0)
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0) ),
inference(resolution,[],[f613,f584]) ).
fof(f624,plain,
( v1_tsp_2(sK34(sK0,u1_struct_0(sK1)),sK0)
| ~ v1_tsp_1(u1_struct_0(sK1),sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0) ),
inference(forward_subsumption_resolution,[],[f618,f295]) ).
fof(f627,plain,
( m1_subset_1(sK34(sK0,u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_tsp_1(u1_struct_0(sK1),sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0) ),
inference(forward_subsumption_resolution,[],[f615,f295]) ).
fof(f628,plain,
( v1_tsp_1(u1_struct_0(sK1),sK0)
| v3_struct_0(sK1)
| ~ m2_tsp_1(sK1,sK0)
| v3_struct_0(sK0)
| ~ l1_pre_topc(sK0) ),
inference(forward_subsumption_resolution,[],[f614,f297]) ).
fof(f631,plain,
( v1_tsp_2(sK34(sK0,u1_struct_0(sK1)),sK0)
| ~ v1_tsp_1(u1_struct_0(sK1),sK0)
| ~ l1_pre_topc(sK0) ),
inference(forward_subsumption_resolution,[],[f624,f294]) ).
fof(f634,plain,
( m1_subset_1(sK34(sK0,u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_tsp_1(u1_struct_0(sK1),sK0)
| ~ l1_pre_topc(sK0) ),
inference(forward_subsumption_resolution,[],[f627,f294]) ).
fof(f635,plain,
( v1_tsp_1(u1_struct_0(sK1),sK0)
| ~ m2_tsp_1(sK1,sK0)
| v3_struct_0(sK0)
| ~ l1_pre_topc(sK0) ),
inference(forward_subsumption_resolution,[],[f628,f298]) ).
fof(f638,plain,
( v1_tsp_2(sK34(sK0,u1_struct_0(sK1)),sK0)
| ~ v1_tsp_1(u1_struct_0(sK1),sK0) ),
inference(forward_subsumption_resolution,[],[f631,f293]) ).
fof(f641,plain,
( m1_subset_1(sK34(sK0,u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_tsp_1(u1_struct_0(sK1),sK0) ),
inference(forward_subsumption_resolution,[],[f634,f293]) ).
fof(f642,plain,
( v1_tsp_1(u1_struct_0(sK1),sK0)
| v3_struct_0(sK0)
| ~ l1_pre_topc(sK0) ),
inference(forward_subsumption_resolution,[],[f635,f296]) ).
fof(f655,definition,
( spl35_4
<=> v1_tsp_1(u1_struct_0(sK1),sK0) ),
introduced(definition,[new_symbols(definition,[spl35_4])],[avatar_definition]) ).
fof(f656,plain,
( ~ v1_tsp_1(u1_struct_0(sK1),sK0)
| spl35_4 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f658,definition,
( spl35_5
<=> v1_tsp_2(sK34(sK0,u1_struct_0(sK1)),sK0) ),
introduced(definition,[new_symbols(definition,[spl35_5])],[avatar_definition]) ).
fof(f659,plain,
( v1_tsp_2(sK34(sK0,u1_struct_0(sK1)),sK0)
| ~ spl35_5 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f660,plain,
( ~ spl35_4
| spl35_5 ),
inference(avatar_split_clause,[],[f638,f658,f655]) ).
fof(f670,definition,
( spl35_8
<=> m1_subset_1(sK34(sK0,u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK0))) ),
introduced(definition,[new_symbols(definition,[spl35_8])],[avatar_definition]) ).
fof(f671,plain,
( m1_subset_1(sK34(sK0,u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl35_8 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f672,plain,
( ~ spl35_4
| spl35_8 ),
inference(avatar_split_clause,[],[f641,f670,f655]) ).
fof(f673,plain,
( v1_tsp_1(u1_struct_0(sK1),sK0)
| ~ l1_pre_topc(sK0) ),
inference(forward_subsumption_resolution,[],[f642,f295]) ).
fof(f674,plain,
v1_tsp_1(u1_struct_0(sK1),sK0),
inference(forward_subsumption_resolution,[],[f673,f293]) ).
fof(f675,plain,
( $false
| spl35_4 ),
inference(forward_subsumption_resolution,[],[f656,f674]) ).
fof(f676,plain,
spl35_4,
inference(avatar_contradiction_clause,[],[f675]) ).
fof(f678,plain,
( m2_tsp_1(sK33(sK0,sK34(sK0,u1_struct_0(sK1))),sK0)
| ~ v1_tsp_2(sK34(sK0,u1_struct_0(sK1)),sK0)
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ spl35_8 ),
inference(resolution,[],[f671,f588]) ).
fof(f679,plain,
( sK34(sK0,u1_struct_0(sK1)) = u1_struct_0(sK33(sK0,sK34(sK0,u1_struct_0(sK1))))
| ~ v1_tsp_2(sK34(sK0,u1_struct_0(sK1)),sK0)
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ spl35_8 ),
inference(resolution,[],[f671,f591]) ).
fof(f681,plain,
( v1_pre_topc(sK33(sK0,sK34(sK0,u1_struct_0(sK1))))
| ~ v1_tsp_2(sK34(sK0,u1_struct_0(sK1)),sK0)
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ spl35_8 ),
inference(resolution,[],[f671,f589]) ).
fof(f682,plain,
( v2_tsp_2(sK33(sK0,sK34(sK0,u1_struct_0(sK1))),sK0)
| ~ v1_tsp_2(sK34(sK0,u1_struct_0(sK1)),sK0)
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ spl35_8 ),
inference(resolution,[],[f671,f592]) ).
fof(f684,plain,
( v2_tsp_2(sK33(sK0,sK34(sK0,u1_struct_0(sK1))),sK0)
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ spl35_5
| ~ spl35_8 ),
inference(forward_subsumption_resolution,[],[f682,f659]) ).
fof(f685,plain,
( v1_pre_topc(sK33(sK0,sK34(sK0,u1_struct_0(sK1))))
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ spl35_5
| ~ spl35_8 ),
inference(forward_subsumption_resolution,[],[f681,f659]) ).
fof(f687,plain,
( sK34(sK0,u1_struct_0(sK1)) = u1_struct_0(sK33(sK0,sK34(sK0,u1_struct_0(sK1))))
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ spl35_5
| ~ spl35_8 ),
inference(forward_subsumption_resolution,[],[f679,f659]) ).
fof(f688,plain,
( m2_tsp_1(sK33(sK0,sK34(sK0,u1_struct_0(sK1))),sK0)
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ spl35_5
| ~ spl35_8 ),
inference(forward_subsumption_resolution,[],[f678,f659]) ).
fof(f690,plain,
( v2_tsp_2(sK33(sK0,sK34(sK0,u1_struct_0(sK1))),sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ spl35_5
| ~ spl35_8 ),
inference(forward_subsumption_resolution,[],[f684,f295]) ).
fof(f691,plain,
( v1_pre_topc(sK33(sK0,sK34(sK0,u1_struct_0(sK1))))
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ spl35_5
| ~ spl35_8 ),
inference(forward_subsumption_resolution,[],[f685,f295]) ).
fof(f693,plain,
( sK34(sK0,u1_struct_0(sK1)) = u1_struct_0(sK33(sK0,sK34(sK0,u1_struct_0(sK1))))
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ spl35_5
| ~ spl35_8 ),
inference(forward_subsumption_resolution,[],[f687,f295]) ).
fof(f694,plain,
( m2_tsp_1(sK33(sK0,sK34(sK0,u1_struct_0(sK1))),sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ spl35_5
| ~ spl35_8 ),
inference(forward_subsumption_resolution,[],[f688,f295]) ).
fof(f696,plain,
( v2_tsp_2(sK33(sK0,sK34(sK0,u1_struct_0(sK1))),sK0)
| ~ l1_pre_topc(sK0)
| ~ spl35_5
| ~ spl35_8 ),
inference(forward_subsumption_resolution,[],[f690,f294]) ).
fof(f697,plain,
( v1_pre_topc(sK33(sK0,sK34(sK0,u1_struct_0(sK1))))
| ~ l1_pre_topc(sK0)
| ~ spl35_5
| ~ spl35_8 ),
inference(forward_subsumption_resolution,[],[f691,f294]) ).
fof(f699,plain,
( sK34(sK0,u1_struct_0(sK1)) = u1_struct_0(sK33(sK0,sK34(sK0,u1_struct_0(sK1))))
| ~ l1_pre_topc(sK0)
| ~ spl35_5
| ~ spl35_8 ),
inference(forward_subsumption_resolution,[],[f693,f294]) ).
fof(f700,plain,
( m2_tsp_1(sK33(sK0,sK34(sK0,u1_struct_0(sK1))),sK0)
| ~ l1_pre_topc(sK0)
| ~ spl35_5
| ~ spl35_8 ),
inference(forward_subsumption_resolution,[],[f694,f294]) ).
fof(f702,plain,
( v2_tsp_2(sK33(sK0,sK34(sK0,u1_struct_0(sK1))),sK0)
| ~ spl35_5
| ~ spl35_8 ),
inference(forward_subsumption_resolution,[],[f696,f293]) ).
fof(f703,plain,
( v1_pre_topc(sK33(sK0,sK34(sK0,u1_struct_0(sK1))))
| ~ spl35_5
| ~ spl35_8 ),
inference(forward_subsumption_resolution,[],[f697,f293]) ).
fof(f711,plain,
( sK34(sK0,u1_struct_0(sK1)) = u1_struct_0(sK33(sK0,sK34(sK0,u1_struct_0(sK1))))
| ~ spl35_5
| ~ spl35_8 ),
inference(forward_subsumption_resolution,[],[f699,f293]) ).
fof(f712,plain,
( m2_tsp_1(sK33(sK0,sK34(sK0,u1_struct_0(sK1))),sK0)
| ~ spl35_5
| ~ spl35_8 ),
inference(forward_subsumption_resolution,[],[f700,f293]) ).
fof(f717,plain,
( ~ m2_tsp_1(sK33(sK0,sK34(sK0,u1_struct_0(sK1))),sK0)
| ~ m2_tsp_1(sK1,sK33(sK0,sK34(sK0,u1_struct_0(sK1))))
| ~ v1_pre_topc(sK33(sK0,sK34(sK0,u1_struct_0(sK1))))
| ~ spl35_5
| ~ spl35_8 ),
inference(resolution,[],[f702,f299]) ).
fof(f718,plain,
( ~ m2_tsp_1(sK1,sK33(sK0,sK34(sK0,u1_struct_0(sK1))))
| ~ v1_pre_topc(sK33(sK0,sK34(sK0,u1_struct_0(sK1))))
| ~ spl35_5
| ~ spl35_8 ),
inference(forward_subsumption_resolution,[],[f717,f712]) ).
fof(f719,plain,
( ~ m2_tsp_1(sK1,sK33(sK0,sK34(sK0,u1_struct_0(sK1))))
| ~ spl35_5
| ~ spl35_8 ),
inference(forward_subsumption_resolution,[],[f718,f703]) ).
fof(f757,plain,
( l1_pre_topc(sK33(sK0,sK34(sK0,u1_struct_0(sK1))))
| ~ spl35_5
| ~ spl35_8 ),
inference(resolution,[],[f712,f594]) ).
fof(f758,plain,
( m1_pre_topc(sK33(sK0,sK34(sK0,u1_struct_0(sK1))),sK0)
| ~ spl35_5
| ~ spl35_8 ),
inference(resolution,[],[f712,f595]) ).
fof(f928,plain,
! [X0,X1] :
( ~ r1_tarski(u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_pre_topc(X1,sK0)
| ~ m1_pre_topc(X0,sK0)
| ~ v2_pre_topc(sK0)
| m1_pre_topc(X0,X1) ),
inference(resolution,[],[f576,f293]) ).
fof(f931,plain,
! [X0,X1] :
( ~ m1_pre_topc(X0,sK0)
| ~ m1_pre_topc(X1,sK0)
| ~ r1_tarski(u1_struct_0(X0),u1_struct_0(X1))
| m1_pre_topc(X0,X1) ),
inference(forward_subsumption_resolution,[],[f928,f294]) ).
fof(f932,plain,
! [X0] :
( ~ m1_pre_topc(X0,sK0)
| ~ r1_tarski(u1_struct_0(sK1),u1_struct_0(X0))
| m1_pre_topc(sK1,X0) ),
inference(resolution,[],[f931,f596]) ).
fof(f936,plain,
( ~ r1_tarski(u1_struct_0(sK1),u1_struct_0(sK33(sK0,sK34(sK0,u1_struct_0(sK1)))))
| m1_pre_topc(sK1,sK33(sK0,sK34(sK0,u1_struct_0(sK1))))
| ~ spl35_5
| ~ spl35_8 ),
inference(resolution,[],[f932,f758]) ).
fof(f937,plain,
( ~ r1_tarski(u1_struct_0(sK1),sK34(sK0,u1_struct_0(sK1)))
| m1_pre_topc(sK1,sK33(sK0,sK34(sK0,u1_struct_0(sK1))))
| ~ spl35_5
| ~ spl35_8 ),
inference(forward_demodulation,[],[f936,f711]) ).
fof(f940,definition,
( spl35_38
<=> m1_pre_topc(sK1,sK33(sK0,sK34(sK0,u1_struct_0(sK1)))) ),
introduced(definition,[new_symbols(definition,[spl35_38])],[avatar_definition]) ).
fof(f941,plain,
( m1_pre_topc(sK1,sK33(sK0,sK34(sK0,u1_struct_0(sK1))))
| ~ spl35_38 ),
inference(avatar_component_clause,[],[f940]) ).
fof(f943,definition,
( spl35_39
<=> r1_tarski(u1_struct_0(sK1),sK34(sK0,u1_struct_0(sK1))) ),
introduced(definition,[new_symbols(definition,[spl35_39])],[avatar_definition]) ).
fof(f944,plain,
( ~ r1_tarski(u1_struct_0(sK1),sK34(sK0,u1_struct_0(sK1)))
| spl35_39 ),
inference(avatar_component_clause,[],[f943]) ).
fof(f945,plain,
( spl35_38
| ~ spl35_39
| ~ spl35_5
| ~ spl35_8 ),
inference(avatar_split_clause,[],[f937,f670,f658,f943,f940]) ).
fof(f1127,plain,
( ~ v1_tsp_1(u1_struct_0(sK1),sK0)
| ~ m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| spl35_39 ),
inference(resolution,[],[f944,f585]) ).
fof(f1129,plain,
( ~ m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| spl35_39 ),
inference(forward_subsumption_resolution,[],[f1127,f674]) ).
fof(f1130,plain,
( v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| spl35_39 ),
inference(forward_subsumption_resolution,[],[f1129,f613]) ).
fof(f1131,plain,
( ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| spl35_39 ),
inference(forward_subsumption_resolution,[],[f1130,f295]) ).
fof(f1132,plain,
( ~ l1_pre_topc(sK0)
| spl35_39 ),
inference(forward_subsumption_resolution,[],[f1131,f294]) ).
fof(f1133,plain,
( $false
| spl35_39 ),
inference(forward_subsumption_resolution,[],[f1132,f293]) ).
fof(f1134,plain,
spl35_39,
inference(avatar_contradiction_clause,[],[f1133]) ).
fof(f1234,plain,
( m2_tsp_1(sK1,sK33(sK0,sK34(sK0,u1_struct_0(sK1))))
| ~ l1_pre_topc(sK33(sK0,sK34(sK0,u1_struct_0(sK1))))
| ~ spl35_38 ),
inference(resolution,[],[f941,f562]) ).
fof(f1235,plain,
( ~ l1_pre_topc(sK33(sK0,sK34(sK0,u1_struct_0(sK1))))
| ~ spl35_5
| ~ spl35_8
| ~ spl35_38 ),
inference(forward_subsumption_resolution,[],[f1234,f719]) ).
fof(f1237,plain,
( $false
| ~ spl35_5
| ~ spl35_8
| ~ spl35_38 ),
inference(forward_subsumption_resolution,[],[f1235,f757]) ).
fof(f1238,plain,
( ~ spl35_5
| ~ spl35_8
| ~ spl35_38 ),
inference(avatar_contradiction_clause,[],[f1237]) ).
cnf(s3,plain,
( ~ spl35_4
| spl35_5 ),
inference(sat_conversion,[],[f660]) ).
cnf(s6,plain,
( ~ spl35_4
| spl35_8 ),
inference(sat_conversion,[],[f672]) ).
cnf(s7,plain,
spl35_4,
inference(sat_conversion,[],[f676]) ).
cnf(s29,plain,
( ~ spl35_5
| ~ spl35_8
| spl35_38
| ~ spl35_39 ),
inference(sat_conversion,[],[f945]) ).
cnf(s48,plain,
spl35_39,
inference(sat_conversion,[],[f1134]) ).
cnf(s61,plain,
( ~ spl35_5
| ~ spl35_8
| ~ spl35_38 ),
inference(sat_conversion,[],[f1238]) ).
cnf(s77,plain,
( ~ spl35_5
| ~ spl35_8
| spl35_38 ),
inference(rat,[],[s29,s48]) ).
cnf(s78,plain,
spl35_8,
inference(rat,[],[s6,s7]) ).
cnf(s79,plain,
spl35_5,
inference(rat,[],[s3,s7]) ).
cnf(s80,plain,
~ spl35_38,
inference(rat,[],[s61,s78,s79]) ).
cnf(s83,plain,
$false,
inference(rat,[],[s77,s78,s80,s79]) ).
fof(f1244,plain,
$false,
inference(avatar_sat_refutation,[],[s83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP029+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n026.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 18:56:57 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.46/1.77 % (4150159)Detected formulas, will run a generic FOF schedule.
% 6.46/1.77 % (4150166)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=196768858:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.46/1.77 % (4150167)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1584386713:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.46/1.77 % (4150165)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1693553858:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.46/1.77 % (4150169)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2310271005:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.46/1.77 % (4150171)dis-21_1_sil=8000:lcm=predicate:random_seed=1958807200:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.46/1.77 % (4150168)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3338407719:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.46/1.77 % (4150168)Refutation not found, incomplete strategy
% 6.46/1.77 % (4150168)------------------------------
% 6.46/1.77 % (4150168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.77 % (4150168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.77 % (4150168)CaDiCaL version: 2.1.3
% 6.46/1.77 % (4150168)Termination reason: Refutation not found, incomplete strategy
% 6.46/1.77 % (4150168)Time elapsed: 0.003 s
% 6.46/1.77 % (4150168)Peak memory usage: 88 MB
% 6.46/1.77 % (4150168)Instructions burned: 2 (million)
% 6.46/1.77 % (4150169)Refutation not found, incomplete strategy
% 6.46/1.77 % (4150169)------------------------------
% 6.46/1.77 % (4150169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.77 % (4150169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.77 % (4150169)CaDiCaL version: 2.1.3
% 6.46/1.77 % (4150169)Termination reason: Refutation not found, incomplete strategy
% 6.46/1.77 % (4150169)Time elapsed: 0.004 s
% 6.46/1.77 % (4150169)Peak memory usage: 88 MB
% 6.46/1.77 % (4150169)Instructions burned: 3 (million)
% 6.46/1.77 % (4150170)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=347285800:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.46/1.77 % (4150171)Instruction limit reached!
% 6.46/1.77 % (4150171)------------------------------
% 6.46/1.77 % (4150171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.77 % (4150171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.77 % (4150171)CaDiCaL version: 2.1.3
% 6.46/1.77 % (4150171)Termination reason: Instruction limit
% 6.46/1.77 % (4150171)Termination phase: Saturation
% 6.46/1.77 % (4150171)Time elapsed: 0.108 s
% 6.46/1.77 % (4150171)Peak memory usage: 91 MB
% 6.46/1.77 % (4150171)Instructions burned: 129 (million)
% 6.46/1.77 % (4150170)Instruction limit reached!
% 6.46/1.77 % (4150170)------------------------------
% 6.46/1.77 % (4150170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.77 % (4150170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.77 % (4150170)CaDiCaL version: 2.1.3
% 6.46/1.77 % (4150170)Termination reason: Instruction limit
% 6.46/1.77 % (4150170)Termination phase: Saturation
% 6.46/1.77 % (4150170)Time elapsed: 0.139 s
% 6.46/1.77 % (4150170)Peak memory usage: 90 MB
% 6.46/1.77 % (4150170)Instructions burned: 139 (million)
% 6.46/1.77 % (4150188)lrs+10_1_sil=8000:sp=occurrence:random_seed=4025649813:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.46/1.77 % (4150169)------------------------------
% 6.46/1.77 % (4150169)------------------------------
% 6.46/1.77 % (4150194)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3549613537:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 6.46/1.77 % (4150168)------------------------------
% 6.46/1.77 % (4150168)------------------------------
% 6.46/1.77 % (4150200)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1240123254:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 6.46/1.77 % (4150200)Refutation not found, incomplete strategy
% 6.46/1.77 % (4150200)------------------------------
% 6.46/1.77 % (4150200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.77 % (4150200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.77 % (4150200)CaDiCaL version: 2.1.3
% 6.46/1.77 % (4150200)Termination reason: Refutation not found, incomplete strategy
% 6.46/1.77 % (4150200)Time elapsed: 0.006 s
% 6.46/1.77 % (4150200)Peak memory usage: 88 MB
% 6.46/1.77 % (4150200)Instructions burned: 7 (million)
% 6.46/1.77 % (4150194)Instruction limit reached!
% 6.46/1.77 % (4150194)------------------------------
% 6.46/1.77 % (4150194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.77 % (4150194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.77 % (4150194)CaDiCaL version: 2.1.3
% 6.46/1.77 % (4150194)Termination reason: Instruction limit
% 6.46/1.77 % (4150194)Termination phase: Saturation
% 6.46/1.77 % (4150194)Time elapsed: 0.142 s
% 6.46/1.77 % (4150194)Peak memory usage: 90 MB
% 6.46/1.77 % (4150194)Instructions burned: 157 (million)
% 6.46/1.77 % (4150166)First to succeed.
% 6.46/1.77 % (4150166)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4150159"
% 6.46/1.77 % (4150202)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2633129958:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 6.46/1.77 % (4150188)Instruction limit reached!
% 6.46/1.77 % (4150188)------------------------------
% 6.46/1.77 % (4150188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.77 % (4150188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.77 % (4150188)CaDiCaL version: 2.1.3
% 6.46/1.77 % (4150188)Termination reason: Instruction limit
% 6.46/1.77 % (4150188)Termination phase: Saturation
% 6.46/1.77 % (4150188)Time elapsed: 0.275 s
% 6.46/1.77 % (4150188)Peak memory usage: 94 MB
% 6.46/1.77 % (4150188)Instructions burned: 286 (million)
% 6.46/1.77 % (4150202)Instruction limit reached!
% 6.46/1.77 % (4150202)------------------------------
% 6.46/1.77 % (4150202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.77 % (4150202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.77 % (4150202)CaDiCaL version: 2.1.3
% 6.46/1.77 % (4150202)Termination reason: Instruction limit
% 6.46/1.77 % (4150202)Termination phase: Saturation
% 6.46/1.77 % (4150202)Time elapsed: 0.129 s
% 6.46/1.77 % (4150202)Peak memory usage: 91 MB
% 6.46/1.77 % (4150202)Instructions burned: 249 (million)
% 6.46/1.77 % (4150207)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4139837884:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 6.46/1.77 % (4150207)Refutation not found, incomplete strategy
% 6.46/1.77 % (4150207)------------------------------
% 6.46/1.77 % (4150207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.77 % (4150207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.77 % (4150207)CaDiCaL version: 2.1.3
% 6.46/1.77 % (4150207)Termination reason: Refutation not found, incomplete strategy
% 6.46/1.77 % (4150207)Time elapsed: 0.008 s
% 6.46/1.77 % (4150207)Peak memory usage: 88 MB
% 6.46/1.77 % (4150207)Instructions burned: 6 (million)
% 6.46/1.77 % (4150212)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2968942890:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 6.46/1.77 % (4150214)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2327818486:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 6.46/1.77 % (4150200)------------------------------
% 6.46/1.77 % (4150200)------------------------------
% 6.46/1.77 % (4150214)Instruction limit reached!
% 6.46/1.77 % (4150214)------------------------------
% 6.46/1.77 % (4150214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.77 % (4150214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.77 % (4150214)CaDiCaL version: 2.1.3
% 6.46/1.77 % (4150214)Termination reason: Instruction limit
% 6.46/1.77 % (4150214)Termination phase: Saturation
% 6.46/1.77 % (4150214)Time elapsed: 0.046 s
% 6.46/1.77 % (4150214)Peak memory usage: 92 MB
% 6.46/1.77 % (4150214)Instructions burned: 114 (million)
% 6.46/1.77 % (4150166)Refutation found. Thanks to Tanya!
% 6.46/1.77 % SZS status Theorem for theBenchmark
% 6.46/1.77 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.90 % (4150166)------------------------------
% 0.17/1.90 % (4150166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.90 % (4150166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.90 % (4150166)CaDiCaL version: 2.1.3
% 0.17/1.90 % (4150166)Termination reason: Refutation
% 0.17/1.90 % (4150166)Time elapsed: 0.616 s
% 0.17/1.90 % (4150166)Peak memory usage: 131 MB
% 0.17/1.90 % (4150166)Instructions burned: 1043 (million)
% 0.17/1.90 % (4150166)------------------------------
% 0.17/1.90 % (4150166)------------------------------
% 0.17/1.90 % (4150159)Success in time 1.117 s
% 0.17/1.90 % Vampire exiting
%------------------------------------------------------------------------------